Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 725, 216, 133, 603 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 216, 133, 603 is 1
GCD(725, 216, 133, 603) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 216, 133, 603 is 1
GCD(725, 216, 133, 603) = 1
Given Input numbers are 725, 216, 133, 603
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Greatest Common Divisior
We found the divisors of 725, 216, 133, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 216, 133, 603 is 1.
Therefore, GCD of numbers 725, 216, 133, 603 is 1
Given Input Data is 725, 216, 133, 603
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 133 is 7 x 19
Prime Factorization of 603 is 3 x 3 x 67
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(725, 216) = 156600
GCD(725, 216) = ( 725 x 216 ) / 156600
GCD(725, 216) = 156600 / 156600
GCD(725, 216) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 603) = 603
GCD(1, 603) = ( 1 x 603 ) / 603
GCD(1, 603) = 603 / 603
GCD(1, 603) = 1
GCD of 725, 216, 133, 603 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 216, 133, 603?
GCD of 725, 216, 133, 603 is 1
2. Where do I get the detailed procedure to find GCD of 725, 216, 133, 603?
You can find a detailed procedure to find GCD of 725, 216, 133, 603 on our page.
3. How to find GCD of 725, 216, 133, 603 on a calculator?
You can find the GCD of 725, 216, 133, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.